the LCM (lowest common multiple) of 4 and 6 is 12
on September 17th she will have to choose between
... the 4th cheerleading practice and the 3rd play practice
on September 17th she will have to choose between
... the 4th cheerleading practice and the 3rd play practice
Let's break it down step by step:
1. First, let's list out the multiples of each number until we find a common multiple:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
2. By examining the multiples, we can see that 12 is the smallest common multiple of 4 and 6.
3. Since Patsy started both cheerleading and play practice on September 5th, we need to find the next date that is divisible by 12.
4. Counting the number of days from September 5th, we find that the next date that is divisible by 12 is September 17th.
Therefore, the next date Patsy has to choose between cheerleading and play practice would be September 17th.